The Moyal bracket and the dispersionless limit of the KP hierarchy

Details The Moyal bracket and the dispersionless limit of the KP hierarchy The Moyal bracket and the dispersionless limit of the KP hierarchy

1994-10-07

arxiv.org/abs/hep-th/9410048v1

J.Phys. A28 (1995) 1967-1976

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1088/0305-4470/28/7/018

A new Lax equation is introduced for the KP hierarchy which avoids the use of pseudo-differential operators, as used in the Sato approach. This Lax equation is closer to that used in the study of the dispersionless KP hierarchy, and is obtained by replacing the Poisson bracket with the Moyal bracket. The dispersionless limit, underwhich the Moyal bracket collapses to the Poisson bracket, is particularly simple.

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